235 student tickets and 123 non-student tickets were sold.
Step-by-step explanation:
Given,
Total number of tickets sold = 358
Total revenue generated = $752.25
Cost of student ticket = $1.50
Cost of non-student ticket = $3.25
Let,
x represent the number of student tickets sold.
y represent the number of non-student tickets sold.
According to given statement;
x+y=358 Eqn 1
1.50x+3.25y=752.25 Eqn 2
Multiplying Eqn 1 by 1.50
[tex]1.50(x+y=358)\\1.50x+1.50y=537\ \ \ Eqn 3\\[/tex]
Subtracting Eqn 3 from Eqn 2
[tex](1.50x+3.25y)-(1.50x+1.50y)=752.25-537\\1.50x+3.25y-1.50x-1.50y=215.25\\1.75y=215.25[/tex]
Dividing both sides by 1.75
[tex]\frac{1.75y}{1.75}=\frac{215.25}{1.75}\\y=123[/tex]
Putting y=123 in Eqn 1
[tex]x+123=358\\x=358-123\\x=235[/tex]
235 student tickets and 123 non-student tickets were sold.
Keywords: linear equation, elimination
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